Binomial Theorem: quiz

60 questions across 20/20/20 (E/M/H).

20 formulas in this quiz

Binomial approximation $(1+x)^n\approx 1+nx$

3 Qs

Sum of binomial coefficients

3 Qs

Even / odd binomial sums

3 Qs

General term of (a+b)^n

3 Qs

Middle term(s) in (a+b)^n

3 Qs

Greatest binomial coefficient and numerically greatest term

3 Qs

Sum of coefficients via substitution

3 Qs

Pascal row sums and alternating sums

3 Qs

Multinomial expansion

3 Qs

Binomial series for (1+x)^α, |x|<1

3 Qs

Term independent of x in (ax^p + b/x^q)^n

3 Qs

Symmetry and coefficient of x^r in (1+x)^n

3 Qs

Number of distinct terms in (x_1+\cdots+x_k)^n

3 Qs

Binomial approximation for small |x|

3 Qs

Binomial expansion

3 Qs

General term $T_{r+1}$

3 Qs

Multinomial theorem

3 Qs

Middle term(s) in $(a+b)^n$

3 Qs

Greatest binomial coefficient in a row

3 Qs

Greatest term (numerical) in $(1+x)^n$

3 Qs